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Sagot :
Claro, vamos a resolver este problema paso a paso.
1. Temperatura inicial en Celsius (°C):
La temperatura inicial del riel de acero es de 70°C.
2. Temperatura final en Celsius (°C):
La temperatura final del riel de acero es de 30°C.
3. Conversión de las temperaturas de Celsius a Fahrenheit (°F):
La fórmula para convertir de Celsius a Fahrenheit es:
[tex]\[ F = \left( C \times \frac{9}{5} \right) + 32 \][/tex]
4. Convertimos la temperatura inicial en °C a °F:
[tex]\[ F_{\text{inicial}} = \left( 70 \times \frac{9}{5} \right) + 32 \][/tex]
[tex]\[ F_{\text{inicial}} = \left( 70 \times 1.8 \right) + 32 \][/tex]
[tex]\[ F_{\text{inicial}} = 126 + 32 \][/tex]
[tex]\[ F_{\text{inicial}} = 158.0^\circ \text{F} \][/tex]
5. Convertimos la temperatura final en °C a °F:
[tex]\[ F_{\text{final}} = \left( 30 \times \frac{9}{5} \right) + 32 \][/tex]
[tex]\[ F_{\text{final}} = \left( 30 \times 1.8 \right) + 32 \][/tex]
[tex]\[ F_{\text{final}} = 54 + 32 \][/tex]
[tex]\[ F_{\text{final}} = 86.0^\circ \text{F} \][/tex]
6. Calculamos la variación de temperatura en °F:
[tex]\[ \Delta F = F_{\text{inicial}} - F_{\text{final}} \][/tex]
[tex]\[ \Delta F = 158.0^\circ \text{F} - 86.0^\circ \text{F} \][/tex]
[tex]\[ \Delta F = 72.0^\circ \text{F} \][/tex]
Por lo tanto, la variación de temperatura en grados Fahrenheit en ese mismo lapso es de:
[tex]\[ \boxed{72.0^\circ \text{F}} \][/tex]
1. Temperatura inicial en Celsius (°C):
La temperatura inicial del riel de acero es de 70°C.
2. Temperatura final en Celsius (°C):
La temperatura final del riel de acero es de 30°C.
3. Conversión de las temperaturas de Celsius a Fahrenheit (°F):
La fórmula para convertir de Celsius a Fahrenheit es:
[tex]\[ F = \left( C \times \frac{9}{5} \right) + 32 \][/tex]
4. Convertimos la temperatura inicial en °C a °F:
[tex]\[ F_{\text{inicial}} = \left( 70 \times \frac{9}{5} \right) + 32 \][/tex]
[tex]\[ F_{\text{inicial}} = \left( 70 \times 1.8 \right) + 32 \][/tex]
[tex]\[ F_{\text{inicial}} = 126 + 32 \][/tex]
[tex]\[ F_{\text{inicial}} = 158.0^\circ \text{F} \][/tex]
5. Convertimos la temperatura final en °C a °F:
[tex]\[ F_{\text{final}} = \left( 30 \times \frac{9}{5} \right) + 32 \][/tex]
[tex]\[ F_{\text{final}} = \left( 30 \times 1.8 \right) + 32 \][/tex]
[tex]\[ F_{\text{final}} = 54 + 32 \][/tex]
[tex]\[ F_{\text{final}} = 86.0^\circ \text{F} \][/tex]
6. Calculamos la variación de temperatura en °F:
[tex]\[ \Delta F = F_{\text{inicial}} - F_{\text{final}} \][/tex]
[tex]\[ \Delta F = 158.0^\circ \text{F} - 86.0^\circ \text{F} \][/tex]
[tex]\[ \Delta F = 72.0^\circ \text{F} \][/tex]
Por lo tanto, la variación de temperatura en grados Fahrenheit en ese mismo lapso es de:
[tex]\[ \boxed{72.0^\circ \text{F}} \][/tex]
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